47527111908081 has 81 divisors (see below), whose sum is σ = 77204273990571. Its totient is φ = 29242986175728.

The previous prime is 47527111908079. The next prime is 47527111908163. The reversal of 47527111908081 is 18080911172574.

It is a happy number.

The square root of 47527111908081 is 6893991.

It is a perfect power (a square), and thus also a powerful number.

47527111908081 is a `hidden beast` number, since 475 + 2 + 7 + 1 + 1 + 1 + 90 + 8 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7030637856225 + 40496474051856 = 2651535^2 + 6363684^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 47527111908081 - 2¹ = 47527111908079 is a prime.

It is a super-2 number, since 2×47527111908081² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47527111903081) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7259369250 + ... + 7259375796.

Almost surely, 2^{47527111908081} is an apocalyptic number.

47527111908081 is the 6893991-st square number.

47527111908081 is the 3446996-th centered octagonal number.

It is an amenable number.

47527111908081 is a deficient number, since it is larger than the sum of its proper divisors (29677162082490).

47527111908081 is an frugal number, since it uses more digits than its factorization.

47527111908081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13144 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 54.

The spelling of 47527111908081 in words is "forty-seven trillion, five hundred twenty-seven billion, one hundred eleven million, nine hundred eight thousand, eighty-one".